What is 162.5 percent of 6.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 6.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 6.5 is 100%, so we can write it down as 6.5=100%.
4. We know, that x is 162.5% of the output value, so we can write it down as x=162.5%.
5. Now we have two simple equations:
1) 6.5=100%
2) x=162.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
6.5/x=100%/162.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 162.5% of 6.5

6.5/x=100/162.5
(6.5/x)*x=(100/162.5)*x       - we multiply both sides of the equation by x
6.5=0.61538461538462*x       - we divide both sides of the equation by (0.61538461538462) to get x
6.5/0.61538461538462=x
10.5625=x
x=10.5625

now we have:
162.5% of 6.5=10.5625